Finite Group Databasebeta

← Group #13162017

Character table — Group #13162017

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222222444444444444444444444444448888888888888888888888888888888888888181818181818181818181818363636363636363636363636727272727272727272
order122233344666666666333336666666666666661212121212124121212121212121212121212121212121212121212121212121212121212121212121212444488888888121212122424242424242424444121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-111-1-1
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-1-111
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-20000000000000000000022-2-20000000022-2-200000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-22200000000-2-22200000000000000000
χ11222222-1222222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-12222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-1000000002000000-1-1
χ12222222-1222222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-12222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000111100000000-200000011
χ13222222-1222222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-21111111111111111222200000000-1-1-1-100000000-200000011
χ14222222-1222222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-2000000001111000000002000000-1-1
χ15222222-1-2-22222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000−i3i3-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i322-2-200000000-1-111000000000000000−i3i3
χ16222222-1-2-22222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000−i3i3-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-2220000000011-1-1000000000000000i3−i3
χ17222222-1-2-22222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000i3−i3-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i322-2-200000000-1-111000000000000000i3−i3
χ18222222-1-2-22222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000i3−i3-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-2220000000011-1-1000000000000000−i3i3
χ1922222-12222-12-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000222200000000-1-1-1-100200-1-100
χ2022222-12222-12-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-200000000111100-2001100
χ2122222-12222-12-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-2-2-211-2-2-1-122-1-1-1-1-1-11111-2-2111111-2-211111100000000222200000000-1-1-1-100-2001100
χ2222222-12222-12-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-2-2-211-2-2-1-122-1-1-1-1-1-11111-2-2111111-2-211111100000000-2-2-2-200000000111100200-1-100
χ232222-12222-12-1222-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200000000-1-1-1-10000020-1-10000
χ242222-12222-12-1222-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200000000111100000-20110000
χ252222-12222-12-1222-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-211-2-2-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-211110000222200000000-1-1-1-100000-20110000
χ262222-12222-12-1222-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-211-2-2-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-211110000-2-2-2-20000000011110000020-1-10000
χ2722-2-22220022-2-22-2-2-2-2222222-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000002-20022−2−222−2−22-20022−2−222−2−2000000000
χ2822-2-22220022-2-22-2-2-2-2222222-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000002-200−2−222−2−2222-200−2−222−2−222000000000
χ2922-2-22220022-2-22-2-2-2-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000-220022−2−2−2−222-220022−2−2−2−222000000000
χ3022-2-22220022-2-22-2-2-2-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000-2200−2−22222−2−2-2200−2−22222−2−2000000000
χ312-22-22222-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222-22-2-2200000002-22-22-222-2-20000000000000000000000002i−2i2i−2i000000002i−2i2i−2i0000000000000
χ322-22-22222-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222-22-2-2200000002-22-22-222-2-2000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i0000000000000
χ332-22-2222-22-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222222-22-222-20000000-22-22-22-2-22200000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i000000000
χ342-22-2222-22-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222222-22-222-20000000-22-22-22-2-2220000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i000000000
χ352-22-22-12-22-212-1-2-2-212-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000−i3i3001-1-221-111-1-1−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3000000002i−2i2i−2i00000000−ii−ii000003−300
χ362-22-22-12-22-212-1-2-2-212-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000−i3i3001-1-221-111-1-1−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300000000−2i2i−2i2i00000000i−ii−i00000−3300
χ372-22-22-12-22-212-1-2-2-212-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000i3−i3001-1-221-111-1-1i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3000000002i−2i2i−2i00000000−ii−ii00000−3300
χ382-22-22-12-22-212-1-2-2-212-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000i3−i3001-1-221-111-1-1i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300000000−2i2i−2i2i00000000i−ii−i000003−300
χ392-22-2-1222-21-2-12-2-21-22-1-12-1-11111-2-21111-1-12-1-1-1-22-2120−i3i30000-11-112-2-1-111−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i300002i−2i2i−2i00000000−ii−ii00000003−30000
χ402-22-2-1222-21-2-12-2-21-22-1-12-1-11111-2-21111-1-12-1-1-1-22-2120−i3i30000-11-112-2-1-111−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i30000−2i2i−2i2i00000000i−ii−i0000000−330000
χ412-22-2-1222-21-2-12-2-21-22-1-12-1-11111-2-21111-1-12-1-1-1-22-2120i3−i30000-11-112-2-1-111i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i300002i−2i2i−2i00000000−ii−ii0000000−330000
χ422-22-2-1222-21-2-12-2-21-22-1-12-1-11111-2-21111-1-12-1-1-1-22-2120i3−i30000-11-112-2-1-111i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i30000−2i2i−2i2i00000000i−ii−i00000003−30000
χ432-2-2222200-2-2-2-2-2222-222222-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000000002-2−i2i2i2−i2−i2i2i2−i2002-2−i2i2i2−i2−i2i2i2−i2000000000
χ442-2-2222200-2-2-2-2-2222-222222-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000000002-2i2−i2−i2i2i2−i2−i2i2002-2i2−i2−i2i2i2−i2−i2i2000000000
χ452-2-2222200-2-2-2-2-2222-222222-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000000-22−i2i2i2−i2i2−i2−i2i200-22−i2i2i2−i2i2−i2−i2i2000000000
χ462-2-2222200-2-2-2-2-2222-222222-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000000-22i2−i2−i2i2−i2i2i2−i200-22i2−i2−i2i2−i2i2i2−i2000000000
χ4744444-24-4-44-24-2444-24-24-2-2-2-2-244-2-2-2-2-2-2-24-2-2-2-42-4-4-42000000022-4-422222200000000000000000000000000000000000000000000000000000
χ4844444-2-2444-24-2-2-24-2-2-2-2111-2-2-2-2111111-2-21114-2-2-24-2444-2-2-2-2-2-2-2-2111111-2-2-2-2-2-2111111-2-2111111000000000000000000000000000000000
χ4944444-2-2444-24-2-2-24-2-2-2-2111-2-2-2-2111111-2-21114-2-2-24-2-4-4-42222-2-2-2-2111111222222-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000000
χ5044444-2-2-4-44-24-2-2-24-2-2-2-2111-2-2-2-2111111-2-2111-4222-4200000−2i32i32222-1-1-1-1-1-10000−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i3000000000000000000000000000000000
χ5144444-2-2-4-44-24-2-2-24-2-2-2-2111-2-2-2-2111111-2-2111-4222-42000002i3−2i32222-1-1-1-1-1-100002i32i3−i3−i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3i3i3000000000000000000000000000000000
χ524444-244-4-4-24-2444-244-2-24-2-2-2-2-2-244-2-2-2-2-2-24-2-22-4-4-42-400000002222-4-4222200000000000000000000000000000000000000000000000000000
χ534444-24-244-24-24-2-2-24-2-21-211-2-211-2-21111-21-211-24-2-2-244-2-244-2-2-2-211-2-21111-2-2-2-211-2-2111111-2-21111000000000000000000000000000000000
χ544444-24-244-24-24-2-2-24-2-21-211-2-211-2-21111-21-211-24-2-2-24-422-4-422-2-211-2-211112222-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ554444-24-2-4-4-24-24-2-2-24-2-21-211-2-211-2-21111-21-2112-4222-400000−2i32i322-1-122-1-1-1-10000i3i3−2i3−2i3i3i3i3i3−i3−i32i32i3−i3−i3−i3−i3000000000000000000000000000000000
χ564444-24-2-4-4-24-24-2-2-24-2-21-211-2-211-2-21111-21-2112-4222-4000002i3−2i322-1-122-1-1-1-10000−i3−i32i32i3−i3−i3−i3−i3i3i3−2i3−2i3i3i3i3i3000000000000000000000000000000000
χ574444-2-2444-2-2-2-244-2-241-2-21111-2-2-2-211111-2-211-2-244-2-24-2-2-2-24411-2-2-2-211111111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000
χ584444-2-2444-2-2-2-244-2-241-2-21111-2-2-2-211111-2-211-2-244-2-2-42222-4-411-2-2-2-21111-1-1-1-12222-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ594444-2-24-4-4-2-2-2-244-2-241-2-21111-2-2-2-211111-2-21122-4-4220000000-1-12222-1-1-1-13-3-3300003-3-3300003-3-33000000000000000000000000000000000
χ604444-2-24-4-4-2-2-2-244-2-241-2-21111-2-2-2-211111-2-21122-4-4220000000-1-12222-1-1-1-1-333-30000-333-30000-333-3000000000000000000000000000000000
χ614444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3211111111−1−3i32−1+3i32−1+3i32−1−3i321111−1+3i32−1−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ624444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-4222222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-1-1-11−3i321+3i321+3i321−3i32000000000000000000000000000000000
χ634444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3211111111−1+3i32−1−3i32−1−3i32−1+3i321111−1−3i32−1+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ644444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-4222222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-11−3i321+3i321+3i321−3i32-1-1-1-11+3i321−3i321−3i321+3i32000000000000000000000000000000000
χ654444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222222200000−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i323-3-33i3i3i3i3−3−i323−i323−i32−3−i32−i3−i3−i3−i3−3+i323+i323+i32−3+i32000000000000000000000000000000000
χ664444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222222000002i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32-333-3−i3−i3−i3−i33+i32−3+i32−3+i323+i32i3i3i3i33−i32−3−i32−3−i323−i32000000000000000000000000000000000
χ674444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222222200000−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32-333-3i3i3i3i33−i32−3−i32−3−i323−i32−i3−i3−i3−i33+i32−3+i32−3+i323+i32000000000000000000000000000000000
χ684444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222222000002i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i323-3-33−i3−i3−i3−i3−3+i323+i323+i32−3+i32i3i3i3i3−3−i323−i323−i32−3−i32000000000000000000000000000000000
χ6944-4-444-20044-4-4-22-4-424-2-2-2-24-4-22-22-2-222-4222200000000000000000000000000000000000000000004-40000000000-220000000000000000000
χ7044-4-444-20044-4-4-22-4-424-2-2-2-24-4-22-22-2-222-422220000000000000000000000000000000000000000000-4400000000002-20000000000000000000
χ7144-4-44-24004-2-424-4-42-4-24-2-2-2-224-4-22-2-2222-42220000000000000000000000000000000000000000000000000002222−22−2200000000−2−222000000000
χ7244-4-44-24004-2-424-4-42-4-24-2-2-2-224-4-22-2-2222-4222000000000000000000000000000000000000000000000000000−22−2222220000000022−2−2000000000
χ7344-4-4-24400-242-44-42-4-4-2-24-2-2-22-224-4-2-22222-422000000000000000000000000000000000000000000000002222−22−2200000000−2−2220000000000000
χ7444-4-4-24400-242-44-42-4-4-2-24-2-2-22-224-4-2-22222-42200000000000000000000000000000000000000000000000−22−2222220000000022−2−20000000000000
χ754-44-444-24-4-4-44422-4-4-24-2-2-2-2-4-4222222224-2-2-2-24-4-22-4400000004-4-22-22-2-22200000000000000000000000000000000000000000000000000000
χ764-44-444-2-44-4-44422-4-4-24-2-2-2-2-4-4222222224-2-2-2-2-442-24-40000000-442-22-222-2-200000000000000000000000000000000000000000000000000000
χ774-44-44-244-4-424-2-4-4-424-24-2-2-222-4-4222222-24-2-2-2424-4-4-20000000-224-4-22-2-22200000000000000000000000000000000000000000000000000000
χ784-44-44-2-24-4-424-222-42-2-2-21112222-1-1-1-1-1-1-2-211142-22-4-20000000-22-221-111-1-10000003-333-3-300-33-3-333000000000000000000000000000000000
χ794-44-44-2-24-4-424-222-42-2-2-21112222-1-1-1-1-1-1-2-211142-22-4-20000000-22-221-111-1-1000000-33-3-333003-333-3-3000000000000000000000000000000000
χ804-44-44-2-2-44-424-222-42-2-2-21112222-1-1-1-1-1-1-2-2111-4-22-242000−2i32i3002-22-2-11-1-111−2i3−2i32i32i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3000000000000000000000000000000000
χ814-44-44-2-2-44-424-222-42-2-2-21112222-1-1-1-1-1-1-2-2111-4-22-2420002i3−2i3002-22-2-11-1-1112i32i3−2i3−2i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3000000000000000000000000000000000
χ824-44-4-244-442-4-24-4-42-44-2-24-2-22222-4-42222-2-24-2-224-44-2-400000002-22-2-4422-2-200000000000000000000000000000000000000000000000000000
χ834-44-4-24-24-42-4-24222-4-2-21-21122-1-122-1-1-1-1-21-211-2-4-22240−2i32i30000-221-1-2211-1-1−2i32i3−2i32i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3000000000000000000000000000000000
χ844-44-4-24-24-42-4-24222-4-2-21-21122-1-122-1-1-1-1-21-211-2-4-222402i3−2i30000-221-1-2211-1-12i3−2i32i3−2i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3000000000000000000000000000000000
χ854-44-4-24-2-442-4-24222-4-2-21-21122-1-122-1-1-1-1-21-211242-2-2-400000002-2-112-2-1-11100003-3003-33-3-3300-33-33000000000000000000000000000000000
χ864-44-4-24-2-442-4-24222-4-2-21-21122-1-122-1-1-1-1-21-211242-2-2-400000002-2-112-2-1-1110000-3300-33-333-3003-33-3000000000000000000000000000000000
χ874-44-4-2-244-422-2-2-4-42241-2-211-1-12222-1-1-1-11-2-211-224-42-20−2i32i300001-1-22-2211-1-1i3−i3i3−i3−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000000000
χ884-44-4-2-244-422-2-2-4-42241-2-211-1-12222-1-1-1-11-2-211-224-42-202i3−2i300001-1-22-2211-1-1−i3i3−i3i32i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000000000
χ894-44-4-2-24-4422-2-2-4-42241-2-211-1-12222-1-1-1-11-2-2112-2-44-22000−2i32i300-112-22-2-1-111i3i3−i3−i300−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000
χ904-44-4-2-24-4422-2-2-4-42241-2-211-1-12222-1-1-1-11-2-2112-2-44-220002i3−2i300-112-22-2-1-111−i3−i3i3i3002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000
χ914-44-4-2-2-24-422-2-22222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-222-20−2i32i300001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32i3−i3-333−i323+i32−3−i32−3+i32000000000000000000000000000000000
χ924-44-4-2-2-24-422-2-22222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-222-202i3−2i300001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i32−i3i33-3−3+i32−3−i323+i323−i32000000000000000000000000000000000
χ934-44-4-2-2-24-422-2-22222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-222-20−2i32i300001-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i32i3−i33-3−3−i32−3+i323−i323+i32000000000000000000000000000000000
χ944-44-4-2-2-24-422-2-22222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-222-202i3−2i300001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32−i3i3-333+i323−i32−3+i32−3−i32000000000000000000000000000000000
χ954-44-4-2-2-2-4422-2-22222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-2-22000−2i32i300-11-11-111+3i321−3i32−1−3i32−1+3i32i3i3−i3−i33-3i3−i3−3−i323−i32−3+i323+i32-33i3−i33−i32−3−i323+i32−3+i32000000000000000000000000000000000
χ964-44-4-2-2-2-4422-2-22222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-2-220002i3−2i300-11-11-111+3i321−3i32−1−3i32−1+3i32−i3−i3i3i3-33−i3i33+i32−3+i323−i32−3−i323-3−i3i3−3+i323+i32−3−i323−i32000000000000000000000000000000000
χ974-44-4-2-2-2-4422-2-22222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-2-22000−2i32i300-11-11-111−3i321+3i32−1+3i32−1−3i32i3i3−i3−i3-33i3−i33−i32−3−i323+i32−3+i323-3i3−i3−3−i323−i32−3+i323+i32000000000000000000000000000000000
χ984-44-4-2-2-2-4422-2-22222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-2-220002i3−2i300-11-11-111−3i321+3i32−1+3i32−1−3i32−i3−i3i3i33-3−i3i3−3+i323+i32−3−i323−i32-33−i3i33+i32−3+i323−i32−3−i32000000000000000000000000000000000
χ994-4-4444-200-4-4-4-42-24424-2-2-2-2-442-22-222-2-2-422220000000000000000000000000000000000000000000004-40000000000-2200000000000000000
χ1004-4-4444-200-4-4-4-42-24424-2-2-2-2-442-22-222-2-2-42222000000000000000000000000000000000000000000000-4400000000002-200000000000000000
χ1014-4-444-2400-42-42-444-2-4-24-2-2-22-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000i2−i2−i2i2000000000
χ1024-4-444-2400-42-42-444-2-4-24-2-2-22-2-442-222-2-22-42220000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000−i2i2i2−i2000000000
χ1034-4-44-244002-42-4-44-24-4-2-24-2-22-22-2-4422-2-222-42200000000000000000000000000000000000000000000000−2i22i22i2−2i200000000i2−i2−i2i20000000000000
χ1044-4-44-244002-42-4-44-24-4-2-24-2-22-22-2-4422-2-222-422000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000−i2i2i2−i20000000000000
χ10588-8-88-4-4008-4-84-44-844-4-4222-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-400-484-8-444-84-42-422-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4800-4-4448-844-82-4-4222-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-400-4-444-44444222−1−3i3−1+3i32-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-400-4-444-44444222−1+3i3−1−3i32-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-400-84-844-48-44-4-42224-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4004-84-84-4-484-42-4224-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48004444-88-4-4-82-4-422-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-40044444-4-4-44222−1−3i3−1+3i3-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-40044444-4-4-44222−1+3i3−1−3i3-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).